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Finding the Fourth Proportional to 21,919.78, 32,862.42 and 9,429.58

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Solution

The fourth proportional to 21,919.78, 32,862.42 and 9,429.58 is: 14,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.78 : 32,862.42 = 9,429.58 : x
  2. Step 2: Convert to fraction form
    21,919.78/32,862.42 = 9,429.58/x
  3. Step 3: Cross multiply
    21,919.78x = 32,862.42 × 9,429.58
  4. Step 4: Simplify right side
    21,919.78x = 309,878,818.38
  5. Step 5: Solve for x
    x = 309,878,818.38/21,919.78
  6. Step 6: Final answer
    x = 14,136.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.